Question

you are fabricating a large wooden beam for a construction project. the beam will have the following dimensions: 18.0 in x 8.50 in x 32.00 ft. after building the beam you will need to ship it to the construction site. the average density of the wood in the beam is 648.78 kg/m3. you have been quotes a shipping rate of 32.35/100lb. what is the cost to ship the beam?

Answer 1

Volume of beam = 18 * 8.50 * 32 = 4896 ft^3

1 ft^3 = 0.02832 m^3

So, volume in m^3 = 4896 * 0.02832 = 138.65472 m^3

Mass = volume * density = 138.65472 * 648.78 = 89956.40924 Kg

1 Kg = 2.20462 lbs

Mass in lbs = 89956.40924 * 2.20462 = 198319.6989 lbs

Rate = 32.35/100 lb = 0.3235 /lb

Total cost = 0.3235 * 198319.6989 = 64156.423 Unit ......Answer

Please note that answer may change slightly as conversion factor may change slightly. But approach is 100% correct.

Let me know if any doubts.